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LCM of 862, 780, 959, 651, 717

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 862, 780, 959, 651, 717 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 862, 780, 959, 651, 717. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,780,959,651,717

Given numbers are 862,780,959,651,717

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 862,780,959,651,717 is 2388636557580.

Find LCM of 862,780,959,651,717 with Prime Factorization


2 862, 780, 959, 651, 717
3 431, 390, 959, 651, 717
7 431, 130, 959, 217, 239
431, 130, 137, 31, 239

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 431 x 130 x 137 x 31 x 239 = 2388636557580

Therefore, the lowest common multiple of 862,780,959,651,717 is 2388636557580.

LCM Formula to Find Lowest Common Multiple of 862,780,959,651,717

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

862 x 780 x 959 x 651 x 717 = 300968206255080

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

862 : 1, 2, 431, 862

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

959 : 1, 7, 137, 959

651 : 1, 3, 7, 21, 31, 93, 217, 651

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,780,959,651,717, is 1.

Now, the common factors can be found like this.

862:2x 431

780:2x 2x 3x 5x 13

959:7x 137

651:3x 7x 31

717:3x 239

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 300968206255080/(1x126)

LCM = 300968206255080/126

LCM = 2388636557580

Thus, we can understand that the LCM of 862,780,959,651,717 is 2388636557580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 780, 959, 651, 717

1. What is the LCM of 862, 780, 959, 651, 717?

Answer: LCM of 862, 780, 959, 651, 717 is 2388636557580.

2. How to calculate the LCM of 862, 780, 959, 651, 717?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 862, 780, 959, 651, 717.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.